Cubic spline wavelets with short support for fourth-order
problems

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Cubic spline wavelets with short support for fourth-order problems

Přehled o publikaci

J 2014

Cubic spline wavelets with short support for fourth-order problems

ČERNÁ, Dana a Václav FINĚK

Základní údaje

Originální název

Cubic spline wavelets with short support for fourth-order problems

Autoři

ČERNÁ, Dana (203 Česká republika, garant, domácí) a Václav FINĚK (203 Česká republika, domácí)

Vydání

APPLIED MATHEMATICS AND COMPUTATION, ELSEVIER SCIENCE, 2014, 0096-3003

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

Obecná matematika

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Kód RIV

RIV/46747885:24510/14:#0001119

Organizace

Fakulta přírodovědně-humanitní a pedagogická – Technická univerzita v Liberci – Repozitář

DOI

http://dx.doi.org/10.1016/j.amc.2014.05.065

UT WoS

000340563800005

Klíčová slova anglicky

Wavelet; Cubic spline; Homogeneous Dirichlet boundary conditions; Condition number; Biharmonic problem

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 26. 3. 2015 09:01, Dana Černá

Anotace

V originále

In the paper, we propose a construction of new cubic spline-wavelet bases on the unit cube satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have vanishing moments. We show that stiffness matrices arising from discretization of the biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. We present quantitative properties of the constructed bases and we show a superiority of our construction in comparison to some other cubic spline wavelet bases satisfying boundary conditions of the same type.

Citovat

ČERNÁ, Dana a Václav FINĚK. Cubic spline wavelets with short support for fourth-order problems. APPLIED MATHEMATICS AND COMPUTATION. ELSEVIER SCIENCE, 2014, roč. 243, 15 September, s. 44-56. ISSN 0096-3003. Dostupné z: https://dx.doi.org/10.1016/j.amc.2014.05.065.

@article{18157,
   author = {Černá, Dana and Finěk, Václav},
   article_number = {15 September},
   doi = {http://dx.doi.org/10.1016/j.amc.2014.05.065},
   keywords = {Wavelet; Cubic spline; Homogeneous Dirichlet boundary conditions; Condition number; Biharmonic problem},
   language = {eng},
   issn = {0096-3003},
   journal = {APPLIED MATHEMATICS AND COMPUTATION},
   title = {Cubic spline wavelets with short support for fourth-order problems},
   url = {http://www.sciencedirect.com/science/article/pii/S0096300314007309},
   volume = {243},
   year = {2014}
}

TY  - JOUR
ID  - 18157
AU  - Černá, Dana - Finěk, Václav
PY  - 2014
TI  - Cubic spline wavelets with short support for fourth-order problems
JF  - APPLIED MATHEMATICS AND COMPUTATION
VL  - 243
IS  - 15 September
SP  - 44-56
EP  - 44-56
PB  - ELSEVIER SCIENCE
SN  - 0096-3003
KW  - Wavelet
KW  - Cubic spline
KW  - Homogeneous Dirichlet boundary conditions
KW  - Condition number
KW  - Biharmonic problem
UR  - http://www.sciencedirect.com/science/article/pii/S0096300314007309
L2  - http://www.sciencedirect.com/science/article/pii/S0096300314007309
N2  - In the paper, we propose a construction of new cubic spline-wavelet bases on the unit cube satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have vanishing moments. We show that stiffness matrices arising from discretization of the biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small. We present quantitative properties of the constructed bases and we show a superiority of our construction in comparison to some other cubic spline wavelet bases satisfying boundary conditions of the same type.
ER  -

ČERNÁ, Dana a Václav FINĚK. Cubic spline wavelets with short support for fourth-order problems. \textit{APPLIED MATHEMATICS AND COMPUTATION}. ELSEVIER SCIENCE, 2014, roč.~243, 15 September, s.~44-56. ISSN~0096-3003. Dostupné z: https://dx.doi.org/10.1016/j.amc.2014.05.065.